On the existence of periodic orbits for the fixed homogeneous circle problem
On the existence of periodic orbits for the fixed homogeneous circle problem
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DOI：
10.1016/j.jde.2006.12.012
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发表时间：
2005-02
影响因子：
2.4
通讯作者：
C. Azevêdo;P. Ontaneda
中科院分区：
文献类型：
--
作者：
C. Azevêdo;P. Ontaneda
证明了在固定齐次圆的引力作用下，粒子在欧几里得三维空间中运动的某些周期轨道的存在性。这些类型包括均匀圆非常远和非常近的周期轨道，以及八和螺旋周期轨道。
We prove the existence of some types of periodic orbits for a particle moving in Euclidean three-space under the influence of the gravitational force induced by a fixed homogeneous circle. These types include periodic orbits very far and very near the homogeneous circle, as well as eight and spiral periodic orbits.